264252240 has 160 divisors (see below), whose sum is σ = 1040290560. Its totient is φ = 60397056.

The previous prime is 264252203. The next prime is 264252251. The reversal of 264252240 is 42252462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6382 + ... + 23858.

It is an arithmetic number, because the mean of its divisors is an integer number (6501816).

Almost surely, 2^264252240 is an apocalyptic number.

264252240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520145280).

264252240 is an abundant number, since it is smaller than the sum of its proper divisors (776038320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264252240 is a wasteful number, since it uses less digits than its factorization.

264252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17506 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 264252240 is about 16255.8371054831. The cubic root of 264252240 is about 641.7111111810.

The spelling of 264252240 in words is "two hundred sixty-four million, two hundred fifty-two thousand, two hundred forty".